%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KLE057+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 07:52:20 PM UTC 2025 % Result : Theorem 9.60s 9.76s % Output : Proof 9.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KLE057+1 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.14 % Command : duper %s % 0.13/0.35 % Computer : n006.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 16:36:38 EDT 2025 % 0.20/0.35 % CPUTime : % 9.60/9.76 SZS status Theorem for theBenchmark.p % 9.60/9.76 SZS output start Proof for theBenchmark.p % 9.60/9.76 Clause #15 (by assumption #[]): Eq (Eq (domain zero) zero) True % 9.60/9.76 Clause #17 (by assumption #[]): Eq (Not (∀ (X0 : Iota), Eq X0 zero → Eq (domain X0) zero)) True % 9.60/9.76 Clause #18 (by clausification #[15]): Eq (domain zero) zero % 9.60/9.76 Clause #210 (by clausification #[17]): Eq (∀ (X0 : Iota), Eq X0 zero → Eq (domain X0) zero) False % 9.60/9.76 Clause #211 (by clausification #[210]): ∀ (a : Iota), Eq (Not (Eq (skS.0 0 a) zero → Eq (domain (skS.0 0 a)) zero)) True % 9.60/9.76 Clause #212 (by clausification #[211]): ∀ (a : Iota), Eq (Eq (skS.0 0 a) zero → Eq (domain (skS.0 0 a)) zero) False % 9.60/9.76 Clause #213 (by clausification #[212]): ∀ (a : Iota), Eq (Eq (skS.0 0 a) zero) True % 9.60/9.76 Clause #214 (by clausification #[212]): ∀ (a : Iota), Eq (Eq (domain (skS.0 0 a)) zero) False % 9.60/9.76 Clause #215 (by clausification #[213]): ∀ (a : Iota), Eq (skS.0 0 a) zero % 9.60/9.76 Clause #3783 (by clausification #[214]): ∀ (a : Iota), Ne (domain (skS.0 0 a)) zero % 9.60/9.76 Clause #3784 (by forward demodulation #[3783, 215]): Ne (domain zero) zero % 9.60/9.76 Clause #3785 (by forward demodulation #[3784, 18]): Ne zero zero % 9.60/9.76 Clause #3786 (by eliminate resolved literals #[3785]): False % 9.60/9.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------